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Finding the Fourth Proportional to 683,978.64, 943,861.32 and 378,039.36

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Solution

The fourth proportional to 683,978.64, 943,861.32 and 378,039.36 is: 521,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,978.64 : 943,861.32 = 378,039.36 : x
  2. Step 2: Convert to fraction form
    683,978.64/943,861.32 = 378,039.36/x
  3. Step 3: Cross multiply
    683,978.64x = 943,861.32 × 378,039.36
  4. Step 4: Simplify right side
    683,978.64x = 356,816,729,341.56
  5. Step 5: Solve for x
    x = 356,816,729,341.56/683,978.64
  6. Step 6: Final answer
    x = 521,678.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.